Before providing information about the putative new theories, let us briefly summarize the known theories that our algorithm rediscovers. These theories are usually denoted by \(D_1^{20}(E_8)\) , \((A_1,A_4)\) , \(\mathrm {USp}(4) + 6 F\) , \(D_2(SU(5))\) , \((A_1,D_5)\) , and \({\cal T}_{\varnothing ,1}^{(1)} \times {\cal T}_{\varnothing ,1}^{(1)}\) . Their data, including Coulomb and Higgs branch geometries, can be found in e.g. Table 1 of [1]}. In Section , we showed explicitly how our algorithm reconstructs the \(D_2(SU(5))\)  theory. The other cases proceed similarly.
